Question 7.62:
A 0.02 M solution of pyridinium hydrochloride has pH = 3.44. Calculate the ionization constant of pyridine
Answer:
pH = 3.44
We know that,
pH = – log [H+]
Question 7.63:
Predict if the solutions of the following salts are neutral, acidic or basic:
NaCl, KBr, NaCN, NH4NO3, NaNO2 and KF
Answer:
(i) NaCl:
Therefore, it is a neutral solution.
(ii) KBr:
Therefore, it is a neutral solution.
(iii) NaCN:
Therefore, it is a basic solution.
(iv) NH4NO3
Therefore, it is an acidic solution.
(v) NaNO2
Therefore, it is a basic solution.
(vi) KF
Therefore, it is a basic solution.
Question 7.64:
The ionization constant of chloroacetic acid is 1.35 × 10–3. What will be the pH of 0.1M acid and its 0.1M sodium salt solution?
Answer:
It is given that Ka for ClCH2COOH is 1.35 × 10–3.
ClCH2COONa is the salt of a weak acid i.e., ClCH2COOH and a strong base i.e., NaOH.
Question 7.65:
Ionic product of water at 310 K is 2.7 × 10–14. What is the pH of neutral water at this temperature?
Answer:
Ionic product,
Hence, the pH of neutral water is 6.78.
Question 7.66:
Calculate the pH of the resultant mixtures:
a) 10 mL of 0.2M Ca(OH)2 + 25 mL of 0.1M HCl
b) 10 mL of 0.01M H2SO4 + 10 mL of 0.01M Ca(OH)2
c) 10 mL of 0.1M H2SO4 + 10 mL of 0.1M KOH
Answer:
(a)
Thus, excess of = .0015 mol
(b)
Since there is neither an excess of or , the solution is neutral. Hence, pH = 7.
(c)
Excess of = .001 mol
= 1.30
Question 7.67:
Determine the solubilities of silver chromate, barium chromate, ferric hydroxide, lead chloride and mercurous iodide at 298K from their solubility product constants given in Table 7.9 (page 221). Determine also the molarities of individual ions.
Answer:
(1) Silver chromate:
Let the solubility of be s.
Molarity of = 2s = 2 × 0.65 × 10–4 = 1.30 × 10–4 M
Molarity of = s = 0.65 × 10–4 M
(2) Barium chromate:
Let s be the solubility of
Thus, = s and = s
Molarity of = Molarity of
(3) Ferric hydroxide:
Let s be the solubility of
Molarity of
Molarity of
(4) Lead chloride:
Let KSP be the solubility of
Molarity of
Molarity of chloride =
(5) Mercurous iodide:
Let s be the solubility of
Molarity of
Molarity of
Question 7.68:
The solubility product constant of Ag2CrO4 and AgBr are 1.1 × 10–12 and 5.0 × 10–13 respectively. Calculate the ratio of the molarities of their saturated solutions.
Answer:
Let s be the solubility of Ag2CrO4.
Let s´ be the solubility of AgBr.
Therefore, the ratio of the molarities of their saturated solution is
Question 7.69:
Equal volumes of 0.002 M solutions of sodium iodate and cupric chlorate are mixed together. Will it lead to precipitation of copper iodate? (For cupric iodate Ksp = 7.4 × 10–8).
Answer:
When equal volumes of sodium iodate and cupric chlorate solutions are mixed together, then the molar concentrations of both solutions are reduced to half i.e., 0.001 M.
Then,
Now, the solubility equilibrium for copper iodate can be written as:
Ionic product of copper iodate:
Since the ionic product (1 × 10–9) is less than Ksp (7.4 × 10–8), precipitation will not occur.
Question 7.70:
The ionization constant of benzoic acid is 6.46 × 10–5 and Ksp for silver benzoate is 2.5 × 10–13. How many times is silver benzoate more soluble in a buffer of pH 3.19 compared to its solubility in pure water?
Answer:
Since pH = 3.19,
Let the solubility of C6H5COOAg be x mol/L.
Then,
Thus, the solubility of silver benzoate in a pH 3.19 solution is 1.66 × 10–6 mol/L.
Now, let the solubility of C6H5COOAg be x’ mol/L.
Hence, C6H5COOAg is approximately 3.317 times more soluble in a low pH solution.
Question 7.71:
What is the maximum concentration of equimolar solutions of ferrous sulphate and sodium sulphide so that when mixed in equal volumes, there is no precipitation of iron sulphide? (For iron sulphide, Ksp = 6.3 × 10–18).
Answer:
Let the maximum concentration of each solution be x mol/L. After mixing, the volume of the concentrations of each solution will be reduced to half i.e., .
If the concentrations of both solutions are equal to or less than 5.02 × 10–9 M, then there will be no precipitation of iron sulphide.
Question 7.72:
What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, Ksp is 9.1 × 10–6).
Answer:
Let the solubility of CaSO4 be s.
Molecular mass of CaSO4 = 136 g/mol
Solubility of in gram/L = 3.02 × 10–3 × 136
= 0.41 g/L
This means that we need 1L of water to dissolve 0.41g of CaSO4
Therefore, to dissolve 1g of CaSO4 we require of water.
Question 7.73:
The concentration of sulphide ion in 0.1M HCl solution saturated with hydrogen sulphide is 1.0 × 10–19 M. If 10 mL of this is added to 5 mL of 0.04 M solution of the following: FeSO4, MnCl2, ZnCl2 and CdCl2. in which of these solutions precipitation will take place?
Answer:
For precipitation to take place, it is required that the calculated ionic product exceeds the Ksp value.
Before mixing:
After mixing:
This ionic product exceeds the Ksp of Zns and CdS. Therefore, precipitation will occur in CdCl2 and ZnCl2 solutions.